How many rational numbers are there between any two non equal rational numbers ?

A.	2610
B.	Infinite
C.	30000
D.	0

Factorize: $$\begin{aligned} s(s + 1) - t(t + 1) \end{aligned}$$

A.	$(s - t) ( s + t )$
B.	$(s - t) ( s + t + 1 )$
C.	$(s - t) ( s - t )$
D.	$(s - t) ( s - t + 1 )$

What is the area of the triangle formed by joining the points $A(3, 0), B(-7, 0) \text{ and } C(-4, 8)$?

A.	$42$
B.	$40$
C.	$45$
D.	$48$

In graph of linear equation 3x + 5y = 56, there is a point such that its ordinate is one third of abscissa. Find coordinates of the point.

A.	(9, 3)
B.	(12, 4)
C.	(4, 12)
D.	(3, 9)

If AB and CD are parallel, find the value of x+y.

A.	100°
B.	120°
C.	140°
D.	130°

Two sides $AB$ and $BC,$ and the median $AD$ of $\triangle ABC$ are correspondingly equal to the two sides $PQ$ and $QR,$ and the median $PM$ of $\triangle PQR.$ If $AB = 9 \space cm, AD = 6 \space cm,$ and $AC = 7 \space cm,$ then the length of $PR$ is:

A.	$9 \space cm$
B.	$7 \space cm$
C.	$6 \space cm$
D.	$8 \space cm$

If angles $P, Q, R$ and $S$ of the quadrilateral $PQRS$ taken in order are in ratio $14:6:8:12$, then what kind of shape does $PQRS$ represent?

A.	$Rectangle$
B.	$Square$
C.	$Trapezium$
D.	$None \space of \space above$

The area of a trapezium is 247.5 cm² and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 14 cm, find the length of the other side.

A.	38 cm
B.	17 cm
C.	19 cm
D.	9.5 cm

There is a circular park of radius 25 meters. Three friends Max, Thea, and Maria are sitting at equal distance on its boundary each having a toy telephone (connected using strings) in their hands to talk to each other. Find the length of the string between a pair of the telephones.

A.	25√2 m
B.	37.5 m
C.	50 m
D.	25√3 m

Draw a circle with its two chords $PQ$ and $RS$ such that $PQ$ is not parallel to $RS$. Draw the perpendicular bisector of $PQ$ and $RS$. At what point do they intersect each other.

A.	Anywhere but the center
B.	Center of the circle
C.	On the circumference
D.	None of the above

The perimeter of an isosceles triangle is 98 cm and its unequal side is 48 cm. Find the area of the triangle.

A.	30000cm2
B.	168cm2
C.	49cm2
D.	175cm2

A sphere and a right circular cylinder have the same radius. If the volume of the sphere is one third of the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?

A.	3:4
B.	4:3
C.	4:1
D.	1:4

Given are the marks obtained by 60 students in Sanskrit.

Marks	Tally Marks	Number of students
2	$\require{ cancel } \bcancel{ |||| }$	5
3	$\require{ cancel } \bcancel{ |||| } \bcancel{ |||| }|$	11
4	$\require{ cancel } \bcancel{ |||| }||$	7
5	$\require{ cancel } \bcancel{ |||| }||$	7
6	$\require{ cancel } \bcancel{ |||| }||$	7
7	$\require{ cancel } \bcancel{ |||| }|||$	8
8	$\require{ cancel } \bcancel{ |||| } \bcancel{ |||| }|$	11
9	$||||$	4

Calculate the value of median for the given scores.

A.	4
B.	6.5
C.	5.5
D.	10

$800$ families with $2$ children each, were selected randomly and the following data were recorded.

$\text{Number of girls in a family}$	$2$	$1$	$0$
$\text{ Number of families }$	$120$	$200$	$480$

Out of these families, one family is selected at random. What is the probability that the selected family has $1$ girl?

A.	$1$
B.	$0.15$
C.	$0.25$
D.	$0.6$

There is a rectangle ABCD, with sides AB = CD = 40, and sides and BC = DA = 42. The rectangle is rotated 90° clockwise about C, then rotated 90°clockwise about the new location of the point that D after the first rotation. What is the length of the path traveled by point A?

A.	$54\pi$
B.	$52\pi$
C.	$45\pi$
D.	$50 \pi$

In a parallelogram ABCD, ∠A - ∠C is

A.	90°
B.	0°
C.	180°
D.	Can not be determined